{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright (C)\n",
    "2016 - 2019 Pinard Liu(liujianping-ok@163.com)\n",
    "\n",
    "https://www.cnblogs.com/pinard\n",
    "\n",
    "Permission given to modify the code as long as you keep this declaration at the top\n",
    "\n",
    "机器学习算法的随机数据生成 https://www.cnblogs.com/pinard/p/6047802.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0.20011634, 0.64204013],\n",
       "        [0.20115805, 0.81735394]],\n",
       "\n",
       "       [[0.60662038, 0.89004787],\n",
       "        [0.61624492, 0.87006243]],\n",
       "\n",
       "       [[0.98481706, 0.15648228],\n",
       "        [0.05232036, 0.58822938]]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.rand(3,2,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-1.38052653, -1.52454151],\n",
       "       [-1.52251769,  2.01995676],\n",
       "       [-0.05587328, -0.25584719]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.randn(3,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.57894445,  1.20365505],\n",
       "       [ 1.52348525, -0.96396235],\n",
       "       [ 1.60472535, -1.87940798]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "2*np.random.randn(3,2) + 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0, 0, 2, 0],\n",
       "        [1, 0, 0, 0],\n",
       "        [0, 2, 0, 0]],\n",
       "\n",
       "       [[1, 0, 1, 0],\n",
       "        [0, 0, 0, 0],\n",
       "        [0, 2, 1, 1]]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.randint(3, size=[2,3,4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5, 4, 3],\n",
       "       [4, 3, 5]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.randint(3, 6, size=[2,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2.29466296, 2.75012827, 4.12039746])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(5-2)*np.random.random_sample(3)+2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets.samples_generator import make_regression\n",
    "# X为样本特征，y为样本输出， coef为回归系数，共1000个样本，每个样本1个特征\n",
    "X, y, coef =make_regression(n_samples=1000, n_features=1,noise=10, coef=True)\n",
    "# 画图\n",
    "plt.scatter(X, y,  color='black')\n",
    "plt.plot(X, X*coef, color='blue',\n",
    "         linewidth=3)\n",
    "\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "from sklearn.datasets.samples_generator import make_classification\n",
    "# X1为样本特征，Y1为样本类别输出， 共400个样本，每个样本2个特征，输出有3个类别，没有冗余特征，每个类别一个簇\n",
    "X1, Y1 = make_classification(n_samples=400, n_features=2, n_redundant=0,\n",
    "                             n_clusters_per_class=1, n_classes=3)\n",
    "plt.scatter(X1[:, 0], X1[:, 1], marker='o', c=Y1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "# X为样本特征，Y为样本簇类别， 共1000个样本，每个样本2个特征，共3个簇，簇中心在[-1,-1], [1,1], [2,2]， 簇方差分别为[0.4, 0.5, 0.2]\n",
    "X, y = make_blobs(n_samples=1000, n_features=2, centers=[[-1,-1], [1,1], [2,2]], cluster_std=[0.4, 0.5, 0.2])\n",
    "plt.scatter(X[:, 0], X[:, 1], marker='o', c=y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x95910f0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "from sklearn.datasets import make_gaussian_quantiles\n",
    "#生成2维正态分布，生成的数据按分位数分成3组，1000个样本,2个样本特征均值为1和2，协方差系数为2\n",
    "X1, Y1 = make_gaussian_quantiles(n_samples=1000, n_features=2, n_classes=3, mean=[1,2],cov=2)\n",
    "plt.scatter(X1[:, 0], X1[:, 1], marker='o', c=Y1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
